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Howdy,
You will find that conservation of momentum is a principle that works
quite well in the horizontal plane in an accelerated frame. There is no
need to give it up. I'm very curious about how you teach your students
the first law of motion. I start by showing my students that we don't
live in an inertial frame. The first law is not trivial by any means;
it is a great intellectual feat to abstract to an environment one has
never experienced for any appreciable time - and lived to tell of it!
Hmm... I've got some rare earth magnets I should show you.
Magnets don't radiate angular momentum (presumably in the form of
photons). Classically they should, of course, because they produce
their fields by circulating net currents, necessitating the
acceleration of charges. Bohr was among the first to suggest that
somehow this sort of circulation did not always imply radiation,
even though classical electrodynamics says it does.
Leigh